1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
svp [43]
2 years ago
14

The width of a rectangle is 4 units shorter than three-fourths the length; x. Write an expression that represents the perimeter

of the rectangle.
Mathematics
1 answer:
qaws [65]2 years ago
6 0

The expression that represents the perimeter of the rectangle is 4x² + 14x - 3 = 0

<h3>How to determine the expression</h3>

The formula for perimeter of a rectangle is given as;

Perimeter = 2 ( length + width)

Let the length of the rectangle be x

Width of the rectangle be y

From the information given, we have that;

y = 4 - 3/4x

Make into linear equation

y = 16x - 3 / 4x

Now, let's substitute the variables into the formula

Perimeter = 2 (\frac{16x -3 }{4x} + x)

Find the LCM of the bracket

Perimeter = 2(\frac{16x - 3 + 4x^2}{4x} )

Perimeter = \frac{4x^2 + 16x - 3}{2x}

2x = 4x² + 16x - 3

Collect like terms

4x² + 16x - 2x - 3 = 0

4x² + 14x - 3 = 0

Thus, the expression that represents the perimeter of the rectangle is 4x² + 14x - 3 = 0

Learn more about a rectangle here:

brainly.com/question/25292087

#SPJ1

You might be interested in
Jesse made a model of a mountain range for class. to do this, he bought a cylinder of cardboard and cut it into three cones. eac
aniked [119]
By definition, the volume of the cone is given by:
 V = (1/3) (π) (r ^ 2) (h)
 Substituting values we have:
 V = (1/3) (π) ((4/2) ^ 2) (5)
 V = (20/3) (π)
 Then, the volume of the cylinder is:
 Vc = 3 * V
 Vc = 3 * (20/3) (π)
 Vc = 20π
 Answer:
 
the volume of the original cylinder jesse bought is:
 
Vc = 20π
4 0
3 years ago
Andrea ran 4 3/8 miles on
MrRissso [65]
(4 3/8) + (5 1/3)

(4+5)(3/8 + 1/3)

9 + (17/24)

she ran 9 17/24 miles total
8 0
3 years ago
$2,275 is deposited into an account that earns 4% simple interest for 5 years. What is the amount of extra money earned over thi
Cerrena [4.2K]

Answer:

455

Step-by-step explanation:

455×10²

P:$2,275

R:4%

T:5

P:$2,275

subtitle:R: 4%into formula

T:5

5×2275×0.04

5×(2275×0.04)

5×91

answer:455

5 0
2 years ago
Read 2 more answers
Can you explain how to solve this
Wewaii [24]
I believe it’s 180 or something to do with that
3 0
2 years ago
On a certain hot​ summer's day, 769 people used the public swimming pool. The daily prices are $1.25 for children and $2.50 for
pickupchik [31]
579 adults and 190 children I’m pretty sure this is right
6 0
2 years ago
Other questions:
  • Ashley can ride her bicycle 15 miles in 2 hours. There are 60 minutes in 1 hour, and there are 1,760 yards in 1 mile. How many y
    9·2 answers
  • Which Function represents this sequence
    13·1 answer
  • The perimeter of a rectangle is 36m. If its length is increased by 1m and the width is increased by 2m, its area will increase b
    15·1 answer
  • Can someone please explain to me how to solve this problem?
    14·1 answer
  • I NEED HELP PLEASE!!
    9·2 answers
  • You estimate that your school is about 49 ft tall. Your school is actually 58 ft tall. Find the percent error in your estimation
    7·2 answers
  • If m1=35° and m2=75°, what is m3?​
    7·2 answers
  • Mr. Takaya can eat three slices of pizza in five minutes. If he continues to eat at the same rate, how long will it take him to
    8·1 answer
  • A cylindrical glass of soda has a mass of 700g. The glass itself has a mass of 80g. If the glass has a radius of 4cm and a heigh
    9·1 answer
  • Can someone please help&lt;3
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!